From the octagon to the SFT vertex - gluing and multiple wrapping

Abstract

We compare various ways of decomposing and decompactifying the string field theory vertex and analyze the relations between them. We formulate axioms for the octagon and show how it can be glued to reproduce the decompactified pp-wave SFT vertex which in turn can be glued to recover the exact finite volume pp-wave Neumann coefficients. The gluing is performed by resumming multiple wrapping corrections. We observe important nontrivial contributions at the multiple wrapping level which are crucial for obtaining the exact results.

25 pages, many small figures

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Cited by in corpus (17)

• Structure constants at wrapping order
• Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
• Exact null octagon
• Octagon at finite coupling
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Crossing bridges with strong Szego limit theorem
• Conical Twist Fields and Null Polygonal Wilson Loops
• Diagonal finite volume matrix elements in the sinh-Gordon model
• Leading exponential finite size corrections for non-diagonal form factors
• Structure constants of operators on the Wilson loop from integrability
• Field theoretical derivation of Lüscher's formula and calculation of finite volume form factors
• Three-point functions at strong coupling in the BMN limit
• A study of integrable form factors in massless relativistic AdS_3
• Cutting the cylinder into squares: The square form factor
• A study of integrable form factors in massless relativistic $Ad{S}_2$
• Finite volume form factors in integrable theories
• A diagrammatic approach towards the thermodynamics of integrable systems